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claudio muñoz

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Papers by claudio muñoz

Research paper thumbnail of On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations

Mathematische Annalen, 2011

We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized... more We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized, variable-coefficients nonlinear Schrödinger equation. We prove global existence and uniqueness of soliton-like solutions for a large class of slowly varying media. Moreover, we describe for all time the behavior of this new generalized soliton solution.

Research paper thumbnail of On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations

Mathematische Annalen, 2011

We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized... more We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized, variable-coefficients nonlinear Schrödinger equation. We prove global existence and uniqueness of soliton-like solutions for a large class of slowly varying media. Moreover, we describe for all time the behavior of this new generalized soliton solution.

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